Here is the full list of all 29 Comanche achievements.
Completed Operation: Itzal
Completed Operation Prodigal Reaper
Completed Operation Fly Swatter
Completed Operation Thunder Flash
Completed Operation Fire Sale
Completed Operation Bank Job
Completed Operation Door Breaker
Completed Operation Blind Anvil
Finished the Tutorial
Completed five Conflicts missions
Completed all Conflicts missions
Earned all medals in a Conflicts mission
Earned 22 medals from Conflicts missions
Earned all medals in all Conflicts missions
Improved a stat in a Conflicts mission
Eliminated all enemies in a Conflicts mission
Tried the Shooting Range
Completed the Basic Flight Course
Completed the Advanced Flight Course
Completed the Expert Flight Course
Unlocked a Comanche variant
Unlocked a drone variant
Purchased a skin
Completed a match of Blackbox
Completed a match of Infiltration
Eliminated an enemy helicopter in a multiplayer match
Successfully activated the EMP in Infiltration
Collected five black boxes
Recovered a friendly black box